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Transverse Densities of Octet Baryons from Chiral Effective Field Theory

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Abstract

Transverse densities describe the distribution of charge and current at fixed light-front time and provide a frame-independent spatial representation of hadrons as relativistic systems. We calculate the transverse densities of the octet baryons at peripheral distances \(b=O(M_\pi ^{-1})\) in an approach that combines chiral effective field theory (\(\chi \)EFT) and dispersion analysis. The densities are represented as dispersive integrals of the imaginary parts of the baryon electromagnetic form factors in the timelike region (spectral functions). The spectral functions on the two-pion cut at \(t > 4 M_\pi ^2\) are computed using relativistic \(\chi \)EFT with octet and decuplet baryons in the extended on-mass-shell renormalization scheme. The calculations are extended into the \(\rho \)-meson mass region using a dispersive method that incorporates the timelike pion form-factor data. The approach allows us to construct densities at distances \(b>1\) fm with controlled uncertainties. Our results provide insight into the peripheral structure of nucleons and hyperons and can be compared with empirical densities and lattice-QCD calculations.

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Authors and Affiliations

  1. Theory Center, Jefferson Lab, Newport News, VA, 23606, USA

    Jose Manuel Alarcón & Christian Weiss

  2. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, 46071, Valencia, Spain

    Astrid N. Hiller Blin

Authors
  1. Jose Manuel Alarcón
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  2. Astrid N. Hiller Blin
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  3. Christian Weiss
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Correspondence to Astrid N. Hiller Blin.

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This article belongs to the Topical Collection “Light Cone 2016”.

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Alarcón, J.M., Hiller Blin, A.N. & Weiss, C. Transverse Densities of Octet Baryons from Chiral Effective Field Theory. Few-Body Syst 58, 121 (2017). https://doi.org/10.1007/s00601-017-1283-5

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